1982414632 has 96 divisors (see below), whose sum is σ = 4207694400. Its totient is φ = 874621440.

The previous prime is 1982414617. The next prime is 1982414641. The reversal of 1982414632 is 2364142891.

Its product of digits (82944) is a multiple of the sum of its prime divisors (512).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5882368 + ... + 5882704.

It is an arithmetic number, because the mean of its divisors is an integer number (43830150).

Almost surely, 2^1982414632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1982414632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2103847200).

1982414632 is an abundant number, since it is smaller than the sum of its proper divisors (2225279768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1982414632 is a wasteful number, since it uses less digits than its factorization.

1982414632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 512 counting only the distinct ones).

The product of its digits is 82944, while the sum is 40.

The square root of 1982414632 is about 44524.3150649171. The cubic root of 1982414632 is about 1256.2174779267.

It can be divided in two parts, 1982 and 414632, that added together give a palindrome (416614).

The spelling of 1982414632 in words is "one billion, nine hundred eighty-two million, four hundred fourteen thousand, six hundred thirty-two".